Basic Calculus
Practice Problem Set for Rules of Differentiating Functions
Instructions: Solve the following by identifying which rules applies to each item and achieve the correct answers
provided in each item.
1.
d
dx (2−3x)
----------------------------------------------------------------------------- ans. -3
2.
d
dx (4x2)
----------------------------------------------------------------------------- ans. 8x
3.
d
dx (9
x)
----------------------------------------------------------------------------- ans.
−9
x2
4.
d
dx (5x3−x+1)
----------------------------------------------------------------------------- ans. 15
x2
−1
5.
d
dx (8x4+9x2−1)
----------------------------------------------------------------------------- ans. 32
x3
+18x
6.
d
dx (4x3−2x+1
x2)
----------------------------------------------------------------------------- ans.
4x4+2x2−2x
x2
7.
d
dx ¿
) ----------------------------------------------------------------------------- ans.
−2+4x5
x2
8.
d
dx (2
x)
----------------------------------------------------------------------------- ans.
−2
x2
9.
d
dx ¿
------------------------------------------------------------------------ ans. x(-2+3x)
10.
d
dx [x2
(
2
x2+5
x3
)
]
----------------------------------------------------------------------------- ans.
−5
x2
